Suppose you were given the task of testing the truth of the following formula:

1+2+3+4+...+n

2

=n(n+1)(2n+1)

6

You check the formula forn=1

,n=2

, andn=3

and find that it works for these values.From this you predict that the formula is true for every natural numbern

.Whatkind of reasoninghave you used to draw your conclusion?

converse reasoning

deductive reasoning

inductive reasoning

inverse reasoning